x(x-6)=1,11

Solution for x(x-6)=1,11 equation:

x(x-6)=1.11

We move all terms to the left:

x(x-6)-(1.11)=0

We add all the numbers together, and all the variables

x(x-6)-1.11=0

We multiply parentheses

x^2-6x-1.11=0

a = 1; b = -6; c = -1.11;
Δ = b2-4ac
Δ = -62-4·1·(-1.11)
Δ = 40.44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-\sqrt{40.44}}{2*1}=\frac{6-\sqrt{40.44}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+\sqrt{40.44}}{2*1}=\frac{6+\sqrt{40.44}}{2}
$